Power-reduction Formula
Obtained by solving the second and third versions of the cosine double-angle formula.
| Sine | Cosine | Other |
|---|---|---|
and in general terms of powers of sin θ or cos θ the following is true, and can be deduced using De Moivre's formula, Euler's formula and binomial theorem.
| Cosine | Sine | |
|---|---|---|
Read more about this topic: List Of Trigonometric Identities
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“Ideals possess the strange quality that if they were completely realized they would turn into nonsense. One could easily follow a commandment such as Thou shalt not kill to the point of dying of starvation; and I might establish the formula that for the proper functioning of the mesh of our ideals, as in the case of a strainer, the holes are just as important as the mesh.”
—Robert Musil (18801942)
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